$A_\infty / L_\infty$ structure and alternative action for WZW-like superstring field theory

TL;DR

This paper introduces new gauge invariant superstring field theory actions based on the large Hilbert space, which are shown to be equivalent to existing $A_ abla / L_ abla$ actions, offering a novel WZW-like formulation.

Contribution

It presents a new class of gauge invariant actions for superstring field theories with WZW-like structures, related to $A_ abla / L_ abla$ frameworks, expanding the theoretical landscape.

Findings

New gauge invariant actions for superstring theories introduced.

WZW-like actions are $ ext{Z}_2$-reversed versions of conventional ones.

Proven equivalence to existing $A_ abla / L_ abla$ actions.

Abstract

We propose new gauge invariant actions for open NS, heterotic NS, and closed NS-NS superstring field theories. They are based on the large Hilbert space, and have Wess-Zumino-Witten-like expressions which are the $\mathbb{Z}_{2}$-reversed versions of the conventional WZW-like actions. On the basis of the procedure proposed in arXiv:1505.01659, we show that our new WZW-like actions are completely equivalent to $A_{\infty }/L_{\infty }$ actions proposed in arXiv:1403.0940 respectively.